Evaluate the following integral: `int_1^3|x^2-4|dx`

Explanation

Given:`int_1^3|x^2-4|dx`

`I=int_1^3|x^2-4|dx`

`implies` here `f(x) =x^2-4`when `x>=2` or `f(x)= -(x^2-4)` when `x<2`

Then

`I=-int_1^2 (x^2-4)dx +int_2^3(x^2-4)dx`

`I=-[[(x^3)/3]_1^2-4[x]_1^2]+1/3[x^3]_2^3-4[x]_2^3`

`I=4`